Abstract

We use non-perturbative U-duality symmetries of type II strings to construct new vaccum solutions. In some ways this generalizes the F-theory vacuum constructions. We find the possibilities of new vacuum constructions are very limited. Among them we construct new theories with N = 2 supersymmetry in 3 dimensions and (1, 1) supersymmetry in 2 dimensions.

Highlights

  • It has been appreciated that in many cases string theories enjoy more symmetries when quantum corrections are taken into account

  • A special case of this involves type IIB in 10 dimensions which is conjectured to have SL(2, Z) U-duality symmetry, or type IIA compactified on a circle which again is conjectured to have the SL(2, Z) U-duality symmetry

  • The vacuum constructions in F-theory can be viewed as utitilizing the SL(2) symmetry of type IIB in 10 dimensions

Read more

Summary

Introduction

It has been appreciated that in many cases string theories enjoy more symmetries when quantum corrections are taken into account. A particular case of this is the enlargment of T-duality symmetries of type II strings to U-duality symmetries [1][2]. For type IIA compactification to 9 dimensions this is done [3][4] by viewing the theory as coming from the dimensional M-theory compactified on T 2 to 9 dimensions, where the SL(2, Z) duality gets identified with the duality symmetries of the internal T 2. The vacuum constructions in F-theory can be viewed as utitilizing the SL(2) symmetry of type IIB in 10 dimensions. Compactifications of M-theory on elliptic manifolds can be viewed as geometrizing the U-duality of type II strings (again SL(2)) in 9-dimensions. Even though we will be able to construct some new vacua, in some sense the possibilities appear to be far more limited than in the case of M- or F-theory

General setup
Dimension 10 and type IIB

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.